#define DEBUG 0
-#if DEBUG
+#if DEBUG || 1
#include "cli.h"
#include "bigint_io.h"
+#include <stdio.h>
#endif
#ifndef MAX
/******************************************************************************/
void bigint_adjust(bigint_t* a){
- while(a->length_B!=0 && a->wordv[a->length_B-1]==0){
- a->length_B--;
+ while(a->length_W!=0 && a->wordv[a->length_W-1]==0){
+ a->length_W--;
}
- if(a->length_B==0){
+ if(a->length_W==0){
a->info=0;
return;
}
bigint_word_t t;
uint8_t i = BIGINT_WORD_SIZE-1;
- t = a->wordv[a->length_B-1];
+ t = a->wordv[a->length_W-1];
while((t&(1L<<(BIGINT_WORD_SIZE-1)))==0 && i){
t<<=1;
i--;
/******************************************************************************/
uint16_t bigint_length_b(const bigint_t* a){
- if(!a->length_B || a->length_B==0){
+ if(!a->length_W || a->length_W==0){
return 0;
}
- return (a->length_B-1) * BIGINT_WORD_SIZE + GET_FBS(a);
+ return (a->length_W-1) * BIGINT_WORD_SIZE + GET_FBS(a);
}
/******************************************************************************/
uint16_t bigint_length_B(const bigint_t* a){
- return a->length_B * sizeof(bigint_word_t);
+ return a->length_W * sizeof(bigint_word_t);
}
/******************************************************************************/
uint32_t bigint_get_first_set_bit(const bigint_t* a){
- if(a->length_B==0){
+ if(a->length_W==0){
return (uint32_t)(-1);
}
- return (a->length_B-1)*sizeof(bigint_word_t)*8+GET_FBS(a);
+ return (a->length_W-1)*sizeof(bigint_word_t)*8+GET_FBS(a);
}
uint32_t r=0;
uint8_t b=0;
bigint_word_t x=1;
- if(a->length_B==0){
+ if(a->length_W==0){
return (uint32_t)(-1);
}
- while(a->wordv[r]==0 && r<a->length_B){
+ while(a->wordv[r]==0 && r<a->length_W){
++r;
}
if(a->wordv[r] == 0){
/******************************************************************************/
void bigint_copy(bigint_t* dest, const bigint_t* src){
- memcpy(dest->wordv, src->wordv, src->length_B*sizeof(bigint_word_t));
- dest->length_B = src->length_B;
+ if(dest->wordv != src->wordv){
+ memcpy(dest->wordv, src->wordv, src->length_W * sizeof(bigint_word_t));
+ }
+ dest->length_W = src->length_W;
dest->info = src->info;
}
void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
uint16_t i;
bigint_wordplus_t t = 0LL;
- if(a->length_B < b->length_B){
+ if(a->length_W < b->length_W){
XCHG_PTR(a,b);
}
- for(i = 0; i < b->length_B; ++i){
+ for(i = 0; i < b->length_W; ++i){
+// t = (bigint_wordplus_t)(a->wordv[i]) + (bigint_wordplus_t)(b->wordv[i]) + t;
t += a->wordv[i];
t += b->wordv[i];
dest->wordv[i] = (bigint_word_t)t;
t >>= BIGINT_WORD_SIZE;
}
- for(; i < a->length_B; ++i){
+ for(; i<a->length_W; ++i){
t += a->wordv[i];
dest->wordv[i] = (bigint_word_t)t;
t >>= BIGINT_WORD_SIZE;
if(t){
dest->wordv[i++] = (bigint_word_t)t;
}
- dest->length_B = i;
+ dest->length_W = i;
bigint_adjust(dest);
}
/* this should be implemented in assembly */
void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale){
- if(a->length_B == 0){
+ if(a->length_W == 0){
return;
}
if(scale == 0){
bigint_add_u(dest, dest, a);
return;
}
-#if DEBUG_ADD_SCALE
- cli_putstr_P(PSTR("\r\nDBG: bigint_add_scale("));
- bigint_print_hex(dest);
- cli_putc(',');
- bigint_print_hex(dest);
- cli_putc(',');
- cli_hexdump_rev(&scale, 2);
- cli_putc(')');
-#endif
-#if BIGINT_WORD_SIZE == 8
- if(scale >= dest->length_B){
-#if DEBUG_ADD_SCALE
- cli_putstr_P(PSTR("\r\n\tpath one"));
-#endif
- memset(dest->wordv + dest->length_B, 0, scale - dest->length_B);
- memcpy(dest->wordv + scale, a->wordv, a->length_B);
- dest->info = a->info;
- dest->length_B = a->length_B + scale;
- return;
- }
bigint_t x;
-#if DEBUG_ADD_SCALE
- cli_putstr_P(PSTR("\r\n\tpath two"));
-#endif
- x.length_B = dest->length_B - scale;
- x.info = dest->info;
+#if BIGINT_WORD_SIZE == 8
+ memset(dest->wordv + dest->length_W, 0, MAX(dest->length_W, a->length_W + scale) - dest->length_W);
x.wordv = dest->wordv + scale;
+ x.length_W = dest->length_W - scale;
+ if((int16_t)x.length_W < 0){
+ x.length_W = 0;
+ x.info = 0;
+ } else {
+ x.info = dest->info;
+ }
bigint_add_u(&x, &x, a);
- dest->length_B = x.length_B + scale;
+ dest->length_W = x.length_W + scale;
dest->info = 0;
bigint_adjust(dest);
#else
bigint_t s;
uint16_t word_shift = scale / sizeof(bigint_word_t), byte_shift = scale % sizeof(bigint_word_t);
- bigint_word_t bv[a->length_B + 1];
+ bigint_word_t bv[a->length_W + 1];
s.wordv = bv;
- bv[0] = bv[a->length_B] = 0;
- memcpy((uint8_t*)bv + byte_shift, a->wordv, a->length_B * sizeof(bigint_word_t));
- s.length_B = a->length_B + 1;
+ bv[0] = bv[a->length_W] = 0;
+ memcpy((uint8_t*)bv + byte_shift, a->wordv, a->length_W * sizeof(bigint_word_t));
+ s.length_W = a->length_W + 1;
bigint_adjust(&s);
- memset(dest->wordv + dest->length_B, 0, (MAX(dest->length_B, s.length_B + word_shift) - dest->length_B) * sizeof(bigint_word_t));
+ memset(dest->wordv + dest->length_W, 0, (MAX(dest->length_W, s.length_W + word_shift) - dest->length_W) * sizeof(bigint_word_t));
x.wordv = dest->wordv + word_shift;
- x.length_B = dest->length_B - word_shift;
- if((int16_t)x.length_B < 0){
- x.length_B = 0;
+ x.length_W = dest->length_W - word_shift;
+ if((int16_t)x.length_W < 0){
+ x.length_W = 0;
x.info = 0;
}else{
x.info = dest->info;
}
bigint_add_u(&x, &x, &s);
- dest->length_B = x.length_B + word_shift;
+ dest->length_W = x.length_W + word_shift;
dest->info = 0;
bigint_adjust(dest);
#endif
-
-
-/* uint16_t i,j=0;
- uint16_t scale_w;
- bigint_word_t *dst;
- bigint_wordplus_t t=0;
- scale_w = (scale+sizeof(bigint_word_t)-1)/sizeof(bigint_word_t);
- if(scale>dest->length_B*sizeof(bigint_word_t)){
- memset(((uint8_t*)dest->wordv)+dest->length_B*sizeof(bigint_word_t), 0, scale-dest->length_B*sizeof(bigint_word_t));
- }
- // a->wordv = (const uint32_t*)(((uint8_t*)a->wordv)+(scale&3));
- dst = dest->wordv + (scale&(sizeof(bigint_word_t)-1));
- for(i=scale/sizeof(bigint_word_t); i<a->length_B+scale_w; ++i,++j){
- t += a->wordv[j];
- if(dest->length_B>i){
- t += dst[i];
- }
- dst[i] = (bigint_word_t)t;
- t>>=BIGINT_WORD_SIZE;
- }
- while(t){
- if(dest->length_B>i){
- t += dst[i];
- }
- dst[i] = (bigint_word_t)t;
- t>>=BIGINT_WORD_SIZE;
- ++i;
- }
- if(dest->length_B < i){
- dest->length_B = i;
- }
- bigint_adjust(dest);
- */
}
/******************************************************************************/
int8_t r;
bigint_wordplus_signed_t t=0LL;
uint16_t i;
- r = bigint_cmp_u(a,b);
- if(r==0){
- bigint_set_zero(dest);
- return;
- }
- if(b->length_B==0){
+ if(b->length_W == 0){
bigint_copy(dest, a);
SET_POS(dest);
return;
}
- if(a->length_B==0){
+ if(a->length_W == 0){
bigint_copy(dest, b);
SET_NEG(dest);
return;
}
- if(r<0){
+ r = bigint_cmp_u(a,b);
+ if(r == 0){
+ bigint_set_zero(dest);
+ return;
+ }
+ if(r < 0){
bigint_sub_u(dest, b, a);
SET_NEG(dest);
return;
}
- for(i=0; i < a->length_B; ++i){
+ for(i = 0; i < a->length_W; ++i){
t = a->wordv[i];
- if(i < b->length_B){
+ if(i < b->length_W){
t -= b->wordv[i];
}
t -= borrow;
}
}
SET_POS(dest);
- dest->length_B = i;
+ dest->length_W = i;
bigint_adjust(dest);
}
/******************************************************************************/
int8_t bigint_cmp_u(const bigint_t* a, const bigint_t* b){
- if(a->length_B > b->length_B){
+ if(a->length_W > b->length_W){
return 1;
}
- if(a->length_B < b->length_B){
+ if(a->length_W < b->length_W){
return -1;
}
- if(a->length_B==0){
+ if(a->length_W==0){
return 0;
}
uint16_t i;
- i = a->length_B-1;
+ i = a->length_W-1;
do{
if(a->wordv[i] != b->wordv[i]){
if(a->wordv[i] > b->wordv[i]){
int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){
uint8_t s;
- if(a->length_B==0 && b->length_B==0){
+ if(a->length_W==0 && b->length_W==0){
return 0;
}
s = GET_SIGN(a)?2:0;
int16_t i;
uint8_t bitshift;
bigint_word_t *p;
- bigint_wordplus_t t=0;
+ bigint_wordplus_t t = 0;
if(shift == 0){
return;
}
byteshift = shift / 8;
bitshift = shift & 7;
- memset(&a->wordv[a->length_B], 0x00, byteshift);
+
if(byteshift){
- memmove(((uint8_t*)a->wordv)+byteshift, a->wordv, a->length_B * sizeof(bigint_word_t));
+ memmove(((uint8_t*)a->wordv) + byteshift, a->wordv, a->length_W * sizeof(bigint_word_t));
memset(a->wordv, 0, byteshift);
}
- if(bitshift != 0){
- p = (bigint_word_t*)((uint8_t*)a->wordv + byteshift / sizeof(bigint_word_t));
- words_to_shift = a->length_B + ((byteshift % sizeof(bigint_word_t))?1:0);
- /* XXX */
- for(i = 0; i < words_to_shift; ++i){
- t |= ((bigint_wordplus_t)p[i]) << bitshift;
- p[i] = (bigint_word_t)t;
- t >>= BIGINT_WORD_SIZE;
- }
- p[i] = (bigint_word_t)t;
+ if(bitshift == 0){
+ a->length_W += (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
+ bigint_adjust(a);
+ return;
}
- a->length_B += (shift + BIGINT_WORD_SIZE - 1) / BIGINT_WORD_SIZE;
+ p = a->wordv + byteshift / sizeof(bigint_word_t);
+ words_to_shift = a->length_W + (byteshift % sizeof(bigint_word_t)?1:0);
+ for(i=0; i < words_to_shift; ++i){
+ t |= ((bigint_wordplus_t)p[i]) << bitshift;
+ p[i] = (bigint_word_t)t;
+ t >>= BIGINT_WORD_SIZE;
+ }
+ if(t){
+ p[i] = (bigint_word_t)t;
+ a->length_W += 1;
+ }
+ a->length_W += (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
bigint_adjust(a);
}
uint16_t byteshift;
uint16_t i;
uint8_t bitshift;
- bigint_wordplus_t t=0;
- byteshift = shift/8;
- bitshift = shift&7;
- if(byteshift >= a->length_B * sizeof(bigint_word_t)){ /* we would shift out more than we have */
+ bigint_wordplus_t t = 0;
+ byteshift = shift / 8;
+ bitshift = shift & 7;
+
+ if(byteshift >= a->length_W * sizeof(bigint_word_t)){ /* we would shift out more than we have */
bigint_set_zero(a);
return;
}
- if(byteshift == a->length_B * sizeof(bigint_word_t) - 1 && bitshift > GET_FBS(a)){
+ if(byteshift == a->length_W * sizeof(bigint_word_t) - 1 && bitshift > GET_FBS(a)){
bigint_set_zero(a);
return;
}
+
if(byteshift){
- memmove(a->wordv, (uint8_t*)a->wordv + byteshift, a->length_B * sizeof(bigint_word_t) - byteshift);
- memset((uint8_t*)a->wordv + a->length_B * sizeof(bigint_word_t) - byteshift, 0, byteshift);
+ memmove(a->wordv, (uint8_t*)a->wordv + byteshift, a->length_W * sizeof(bigint_word_t) - byteshift);
}
- byteshift /= sizeof(bigint_word_t);
- a->length_B -= (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
- if(bitshift != 0 && a->length_B){
+
+ byteshift /= sizeof(bigint_word_t); /* byteshift is now wordshift */
+ a->length_W -= byteshift;
+ if(bitshift != 0 && a->length_W){
/* shift to the right */
- i = a->length_B - 1;
+ i = a->length_W - 1;
do{
t |= ((bigint_wordplus_t)(a->wordv[i])) << (BIGINT_WORD_SIZE - bitshift);
a->wordv[i] = (bigint_word_t)(t >> BIGINT_WORD_SIZE);
void bigint_xor(bigint_t* dest, const bigint_t* a){
uint16_t i;
- for(i=0; i<a->length_B; ++i){
+ for(i=0; i<a->length_W; ++i){
dest->wordv[i] ^= a->wordv[i];
}
bigint_adjust(dest);
/******************************************************************************/
void bigint_set_zero(bigint_t* a){
- a->length_B=0;
+ a->length_W=0;
}
/******************************************************************************/
/* using the Karatsuba-Algorithm */
/* x*y = (xh*yh)*b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + yh*yl */
void bigint_mul_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
- if(a->length_B==0 || b->length_B==0){
+ if(a->length_W == 0 || b->length_W == 0){
bigint_set_zero(dest);
return;
}
- if(dest==a || dest==b){
+ if(dest == a || dest == b){
bigint_t d;
- bigint_word_t d_b[a->length_B + b->length_B];
+ bigint_word_t d_b[a->length_W + b->length_W];
d.wordv = d_b;
bigint_mul_u(&d, a, b);
bigint_copy(dest, &d);
return;
}
- if(a->length_B==1 || b->length_B==1){
- if(a->length_B != 1){
+ if(a->length_W == 1 || b->length_W == 1){
+ if(a->length_W != 1){
XCHG_PTR(a,b);
}
- bigint_wordplus_t t=0;
+ bigint_wordplus_t t = 0;
uint16_t i;
bigint_word_t x = a->wordv[0];
- for(i=0; i < b->length_B; ++i){
+ for(i=0; i < b->length_W; ++i){
t += ((bigint_wordplus_t)b->wordv[i]) * ((bigint_wordplus_t)x);
dest->wordv[i] = (bigint_word_t)t;
- t>>=BIGINT_WORD_SIZE;
+ t >>= BIGINT_WORD_SIZE;
+ }
+ dest->length_W = i;
+ if(t){
+ dest->wordv[i] = (bigint_word_t)t;
+ dest->length_W += 1;
}
- dest->wordv[i] = (bigint_word_t)t;
- dest->length_B = i+1;
dest->info = 0;
bigint_adjust(dest);
return;
}
- if(a->length_B * sizeof(bigint_word_t) <= 4 && b->length_B * sizeof(bigint_word_t) <= 4){
+ if(a->length_W * sizeof(bigint_word_t) <= 4 && b->length_W * sizeof(bigint_word_t) <= 4){
uint32_t p=0, q=0;
uint64_t r;
- memcpy(&p, a->wordv, a->length_B*sizeof(bigint_word_t));
- memcpy(&q, b->wordv, b->length_B*sizeof(bigint_word_t));
+ memcpy(&p, a->wordv, a->length_W*sizeof(bigint_word_t));
+ memcpy(&q, b->wordv, b->length_W*sizeof(bigint_word_t));
r = (uint64_t)p * (uint64_t)q;
- memcpy(dest->wordv, &r, (dest->length_B = a->length_B + b->length_B)*sizeof(bigint_word_t));
- bigint_adjust(dest);
- return;
- }
-#if BIGINT_WORD_SIZE == 8
- if(a->length_B <= 4 || b->length_B <= 4){
- if(a->length_B > 4){
- XCHG_PTR(a,b);
- }
- uint32_t x = 0, y = 0;
- uint16_t j = b->length_B / 4, idx = 0;
- uint64_t r = 0;
- memcpy(&x, a->wordv, a->length_B);
- while(j){
- r += (uint64_t)((uint32_t*)b->wordv)[idx] * (uint64_t)x;
- ((uint32_t*)dest->wordv)[idx] = (uint32_t)r;
- r >>= 32;
- ++idx;
- --j;
- }
- idx *= 4;
- memcpy(&y, b->wordv + idx, b->length_B - idx);
- r += (uint64_t)y * (uint64_t)x;
- while(r){
- dest->wordv[idx++] = (uint8_t)r;
- r >>= 8;
- }
- dest->length_B = idx;
+ memcpy(dest->wordv, &r, (dest->length_W = a->length_W + b->length_W)*sizeof(bigint_word_t));
bigint_adjust(dest);
return;
}
-#endif
/* split a in xh & xl; split b in yh & yl */
- const uint16_t n = (MAX(a->length_B, b->length_B)+1)/2;
+ const uint16_t n = (MAX(a->length_W, b->length_W)+1)/2;
bigint_t xl, xh, yl, yh;
xl.wordv = a->wordv;
yl.wordv = b->wordv;
- if(a->length_B <= n){
+ if(a->length_W<=n){
bigint_set_zero(&xh);
- xl.length_B = a->length_B;
+ xl.length_W = a->length_W;
xl.info = a->info;
}else{
- xl.length_B = n;
+ xl.length_W=n;
xl.info = 0;
bigint_adjust(&xl);
xh.wordv = &(a->wordv[n]);
- xh.length_B = a->length_B-n;
+ xh.length_W = a->length_W-n;
xh.info = a->info;
}
- if(b->length_B <= n){
+ if(b->length_W<=n){
bigint_set_zero(&yh);
- yl.length_B = b->length_B;
+ yl.length_W = b->length_W;
yl.info = b->info;
}else{
- yl.length_B = n;
+ yl.length_W=n;
yl.info = 0;
bigint_adjust(&yl);
yh.wordv = &(b->wordv[n]);
- yh.length_B = b->length_B-n;
+ yh.length_W = b->length_W-n;
yh.info = b->info;
}
/* now we have split up a and b */
/* remember we want to do:
- * x*y = (xh * b ** n + xl) * (yh * b ** n + yl)
- * x*y = (xh*yh)*b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + xl*yl
- * 5 9 2 4 3 7 5 6 1 8 1
+ * x*y = (xh * b**n + xl) * (yh * b**n + yl)
+ * = (xh * yh) * b**2n + xh * b**n * yl + yh * b**n * xl + xl * yl
+ * = (xh * yh) * b**2n + (xh * yl + yh * xl) * b**n + xl *yl
+ * // xh * yl + yh * xl = (xh + yh) * (xl + yl) - xh * yh - xl * yl
+ * x*y = (xh * yh) * b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + xl*yl
+ * 5 9 2 4 3 7 5 6 1 8 1
*/
- bigint_word_t tmp1_b[n*2+2];
- bigint_t tmp1, tmp2;
- tmp1.wordv = tmp1_b;
- tmp2.wordv = &tmp1_b[n+1];
-
- bigint_add_u(&tmp2, &xh, &xl); /* 2: tmp2 <= xh + xl */
- bigint_add_u(&tmp1, &yh, &yl); /* 3: tmp1 <= yh + yl */
- bigint_mul_u(dest, &tmp2, &tmp1); /* 4: dest <= tmp2 * tmp1 */
- bigint_mul_u(&tmp1, &xh, &yh); /* 5: tmp1 <= xh * yh */
- bigint_sub_u(dest, dest, &tmp1); /* 7: dest <= dest - tmp1 */
- bigint_word_t tmp3_b[2*n];
- tmp2.wordv = tmp3_b;
- bigint_mul_u(&tmp2, &xl, &yl); /* 1: tmp3 <= xl * yl */
- bigint_sub_u(dest, dest, &tmp2); /* 6: dest <= dest - tmp3 */
- bigint_shiftleft(dest, n * sizeof(bigint_word_t) * 8);
- bigint_add_u(dest, dest, &tmp2); /* 8: dest <= tmp3 + dest ** n */
- bigint_add_scale_u(dest, &tmp1, 2*n*sizeof(bigint_word_t)); /* 9: dest <= dest + tmp1 ** (2 * n) */
-
-#if 0
- bigint_mul_u(dest, &xl, &yl); /* 1: dest <= xl * yl */
- bigint_add_u(&tmp2, &xh, &xl); /* 2: tmp2 <= xh + xl */
- bigint_add_u(&tmp1, &yh, &yl); /* 3: tmp1 <= yh + yl */
- bigint_mul_u(&tmp3, &tmp2, &tmp1); /* 4: tmp3 <= tmp2 * tmp1 */
- bigint_mul_u(&tmp1, &xh, &yh); /* 5: h <= xh * yh */
- bigint_sub_u(&tmp3, &tmp3, dest); /* 6: tmp3 <= tmp3 - dest */
- bigint_sub_u(&tmp3, &tmp3, &tmp1); /* 7: tmp3 <= tmp3 - h */
- bigint_add_scale_u(dest, &tmp3, n*sizeof(bigint_word_t)); /* 8: dest <= dest + tmp3 ** n */
- bigint_add_scale_u(dest, &tmp1, 2*n*sizeof(bigint_word_t)); /* 9: dest <= dest + tmp1 ** (2 * n) */
-#endif
+ bigint_word_t tmp_b[2 * n + 2], m_b[2 * (n + 1)];
+ bigint_t tmp, tmp2, m;
+ tmp.wordv = tmp_b;
+ tmp2.wordv = &(tmp_b[n + 1]);
+ m.wordv = m_b;
+
+ bigint_mul_u(dest, &xl, &yl); /* 1: dest <= xl*yl */
+ bigint_add_u(&tmp2, &xh, &xl); /* 2: tmp2 <= xh+xl */
+ bigint_add_u(&tmp, &yh, &yl); /* 3: tmp <= yh+yl */
+ bigint_mul_u(&m, &tmp2, &tmp); /* 4: m <= tmp2*tmp */
+ bigint_mul_u(&tmp, &xh, &yh); /* 5: tmp <= xh*yh */
+ bigint_sub_u(&m, &m, dest); /* 6: m <= m-dest */
+ bigint_sub_u(&m, &m, &tmp); /* 7: m <= m-tmp */
+ bigint_add_scale_u(dest, &m, n * sizeof(bigint_word_t)); /* 8: dest <= dest+m**n*/
+ bigint_add_scale_u(dest, &tmp, 2 * n * sizeof(bigint_word_t)); /* 9: dest <= dest+tmp**(2*n) */
}
/******************************************************************************/
/******************************************************************************/
+
+#if DEBUG_SQUARE
+unsigned square_depth = 0;
+#endif
+
/* square */
/* (xh*b^n+xl)^2 = xh^2*b^2n + 2*xh*xl*b^n + xl^2 */
void bigint_square(bigint_t* dest, const bigint_t* a){
- if(a->length_B * sizeof(bigint_word_t) <= 4){
+ if(a->length_W * sizeof(bigint_word_t) <= 4){
uint64_t r = 0;
- memcpy(&r, a->wordv, a->length_B * sizeof(bigint_word_t));
+ memcpy(&r, a->wordv, a->length_W * sizeof(bigint_word_t));
r = r * r;
- memcpy(dest->wordv, &r, 2 * a->length_B*sizeof(bigint_word_t));
+ memcpy(dest->wordv, &r, 2 * a->length_W * sizeof(bigint_word_t));
SET_POS(dest);
- dest->length_B = 2 * a->length_B;
+ dest->length_W = 2 * a->length_W;
bigint_adjust(dest);
return;
}
- if(dest==a){
+ if(dest->wordv == a->wordv){
bigint_t d;
- bigint_word_t d_b[a->length_B * 2];
+ bigint_word_t d_b[a->length_W*2];
d.wordv = d_b;
bigint_square(&d, a);
bigint_copy(dest, &d);
return;
}
+
+#if DEBUG_SQUARE
+ square_depth += 1;
+#endif
+
uint16_t n;
- n = (a->length_B + 1) / 2;
+ n=(a->length_W+1)/2;
bigint_t xh, xl, tmp; /* x-high, x-low, temp */
- bigint_word_t buffer[2 * n + 1];
+ bigint_word_t buffer[2*n+1];
xl.wordv = a->wordv;
- xl.length_B = n;
+ xl.length_W = n;
xl.info = 0;
xh.wordv = &(a->wordv[n]);
- xh.length_B = a->length_B - n;
+ xh.length_W = a->length_W-n;
xh.info = a->info;
bigint_adjust(&xl);
tmp.wordv = buffer;
/* (xh * b**n + xl)**2 = xh**2 * b**2n + 2 * xh * xl * b**n + xl**2 */
-
-// cli_putstr("\r\nDBG (a): xl: "); bigint_print_hex(&xl);
-// cli_putstr("\r\nDBG (b): xh: "); bigint_print_hex(&xh);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (a): xl: "); bigint_print_hex(&xl);
+ cli_putstr("\r\nDBG (b): xh: "); bigint_print_hex(&xh);
+ }
+#endif
bigint_square(dest, &xl);
-// cli_putstr("\r\nDBG (1): xl**2: "); bigint_print_hex(dest);
- bigint_square(&tmp, &xh);
-// cli_putstr("\r\nDBG (2): xh**2: "); bigint_print_hex(&tmp);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (1): xl**2: "); bigint_print_hex(dest);
+ }
+#endif
+ bigint_square(&tmp, &xh);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (2): xh**2: "); bigint_print_hex(&tmp);
+ }
+#endif
bigint_add_scale_u(dest, &tmp, 2 * n * sizeof(bigint_word_t));
-// cli_putstr("\r\nDBG (3): xl**2 + xh**2*n**2: "); bigint_print_hex(dest);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (3): xl**2 + xh**2*n**2: "); bigint_print_hex(dest);
+ }
+#endif
bigint_mul_u(&tmp, &xl, &xh);
-// cli_putstr("\r\nDBG (4): xl*xh: "); bigint_print_hex(&tmp);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (4): xl*xh: "); bigint_print_hex(&tmp);
+ }
+#endif
bigint_shiftleft(&tmp, 1);
-// cli_putstr("\r\nDBG (5): xl*xh*2: "); bigint_print_hex(&tmp);
- bigint_add_scale_u(dest, &tmp, n*sizeof(bigint_word_t));
-// cli_putstr("\r\nDBG (6): x**2: "); bigint_print_hex(dest);
-// cli_putstr("\r\n");
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (5): xl*xh*2: "); bigint_print_hex(&tmp);
+ }
+#endif
+ bigint_add_scale_u(dest, &tmp, n * sizeof(bigint_word_t));
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (6): x**2: "); bigint_print_hex(dest);
+ cli_putstr("\r\n");
+ }
+ square_depth -= 1;
+#endif
}
/******************************************************************************/
void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale){
bigint_t tmp, x;
- bigint_word_t tmp_b[b->length_B + 1];
+ bigint_word_t tmp_b[b->length_W + 1];
const uint16_t word_shift = bitscale / BIGINT_WORD_SIZE;
- if(a->length_B < b->length_B + word_shift){
+ if(a->length_W < b->length_W + word_shift){
#if DEBUG
cli_putstr("\r\nDBG: *bang*\r\n");
#endif
bigint_copy(&tmp, b);
bigint_shiftleft(&tmp, bitscale % BIGINT_WORD_SIZE);
-// cli_putstr_P(PSTR("\r\nDBG: shifted value: ")); bigint_print_hex(&tmp);
-
x.info = a->info;
x.wordv = &(a->wordv[word_shift]);
- x.length_B = a->length_B - word_shift;
+ x.length_W = a->length_W - word_shift;
bigint_sub_u(&x, &x, &tmp);
- a->length_B = x.length_B + word_shift;
bigint_adjust(a);
return;
}
#if DEBUG
cli_putstr("\r\nDBG: (a) = "); bigint_print_hex(a);
#endif
- if(r->length_B==0 || a->length_B==0){
+ if(r->length_W==0 || a->length_W==0){
return;
}
- if((r->length_B*sizeof(bigint_word_t)<=4) && (a->length_B*sizeof(bigint_word_t)<=4)){
+ if((r->length_W*sizeof(bigint_word_t)<=4) && (a->length_W*sizeof(bigint_word_t)<=4)){
uint32_t p=0, q=0;
- memcpy(&p, a->wordv, a->length_B*sizeof(bigint_word_t));
- memcpy(&q, r->wordv, r->length_B*sizeof(bigint_word_t));
+ memcpy(&p, a->wordv, a->length_W*sizeof(bigint_word_t));
+ memcpy(&q, r->wordv, r->length_W*sizeof(bigint_word_t));
p %= q;
- memcpy(a->wordv, &p, a->length_B*sizeof(bigint_word_t));
+ memcpy(a->wordv, &p, a->length_W*sizeof(bigint_word_t));
bigint_adjust(a);
// cli_putstr("\r\nDBG: (0) = "); bigint_print_hex(a);
return;
}
uint16_t shift;
- while(a->length_B > r->length_B){
- shift = (a->length_B - r->length_B) * 8 * sizeof(bigint_word_t) + GET_FBS(a) - rfbs - 1;
+ while(a->length_W > r->length_W){
+ shift = (a->length_W - r->length_W) * 8 * sizeof(bigint_word_t) + GET_FBS(a) - rfbs - 1;
/*
- if((a->wordv[a->length_B-1] & ((1LL<<GET_FBS(a)) - 1)) > r->wordv[r->length_B-1]){
+ if((a->wordv[a->length_W-1] & ((1LL<<GET_FBS(a)) - 1)) > r->wordv[r->length_W-1]){
// cli_putc('~');
cli_putstr("\r\n ~ [a] = ");
- cli_hexdump_rev(&a->wordv[a->length_B-1], 4);
+ cli_hexdump_rev(&a->wordv[a->length_W-1], 4);
cli_putstr(" [r] = ");
- cli_hexdump_rev(&r->wordv[r->length_B-1], 4);
+ cli_hexdump_rev(&r->wordv[r->length_W-1], 4);
shift += 1;
}
*/
// cli_putstr("\r\nDBG: (p) shift = "); cli_hexdump_rev(&shift, 2);
-// cli_putstr(" a_len = "); cli_hexdump_rev(&a->length_B, 2);
-// cli_putstr(" r_len = "); cli_hexdump_rev(&r->length_B, 2);
+// cli_putstr(" a_len = "); cli_hexdump_rev(&a->length_W, 2);
+// cli_putstr(" r_len = "); cli_hexdump_rev(&r->length_W, 2);
// uart_flush(0);
bigint_sub_u_bitscale(a, r, shift);
// cli_putstr("\r\nDBG: (1) = "); bigint_print_hex(a);
}
- while((GET_FBS(a) > rfbs) && (a->length_B == r->length_B)){
+ while((GET_FBS(a) > rfbs) && (a->length_W == r->length_W)){
shift = GET_FBS(a)-rfbs-1;
-// cli_putstr("\r\nDBG: (2a) = "); bigint_print_hex(a);
// cli_putstr("\r\nDBG: (q) shift = "); cli_hexdump_rev(&shift, 2);
bigint_sub_u_bitscale(a, r, shift);
-// cli_putstr("\r\nDBG: (2b) = "); bigint_print_hex(a);
+// cli_putstr("\r\nDBG: (2) = "); bigint_print_hex(a);
}
while(bigint_cmp_u(a,r)>=0){
bigint_sub_u(a,a,r);
// cli_putstr("\r\nDBG: (3) = "); bigint_print_hex(a);
}
-// cli_putc(' ');
bigint_adjust(a);
// cli_putstr("\r\nDBG: (a) = "); bigint_print_hex(a);
// cli_putstr("\r\n");
/* calculate dest = a**exp % r */
/* using square&multiply */
void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r){
- if(a->length_B==0 || r->length_B==0){
+ if(a->length_W==0 || r->length_W==0){
return;
}
bigint_t res, base;
- bigint_word_t t, base_b[MAX(a->length_B,r->length_B)], res_b[r->length_B*2];
+ bigint_word_t t, base_b[MAX(a->length_W,r->length_W)], res_b[r->length_W*2];
uint16_t i;
uint8_t j;
// uint16_t *xaddr = &i;
// cli_putstr("\r\npost-copy");
bigint_reduce(&base, r);
res.wordv[0]=1;
- res.length_B=1;
+ res.length_W=1;
res.info = 0;
bigint_adjust(&res);
- if(exp->length_B == 0){
+ if(exp->length_W == 0){
bigint_copy(dest, &res);
return;
}
uint8_t flag = 0;
- t=exp->wordv[exp->length_B - 1];
- for(i=exp->length_B; i > 0; --i){
+ t=exp->wordv[exp->length_W - 1];
+ for(i=exp->length_W; i > 0; --i){
t = exp->wordv[i - 1];
for(j=BIGINT_WORD_SIZE; j > 0; --j){
if(!flag){
if(flag){
bigint_square(&res, &res);
bigint_reduce(&res, r);
- if(t & (1<<(BIGINT_WORD_SIZE-1))){
+ if(t & (1 << (BIGINT_WORD_SIZE - 1))){
bigint_mul_u(&res, &res, &base);
bigint_reduce(&res, r);
}
}
- t<<=1;
+ t <<= 1;
}
}
}
/******************************************************************************/
-
+#if 1
#define cli_putstr(a)
+#define cli_putstr_P(a)
#define bigint_print_hex(a)
#define cli_hexdump_rev(a,b)
#define uart_flush(a)
-
+#define printf_P(...)
+#endif
/* gcd <-- gcd(x,y) a*x+b*y=gcd */
void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, const bigint_t* y){
- bigint_t g, x_, y_, u, v, a_, b_, c_, d_;
- uint16_t i=0;
- if(x->length_B==0 || y->length_B==0){
+ uint16_t i = 0;
+ printf_P(PSTR("\nDBG: gcdext( "));
+ bigint_print_hex(x);
+ printf_P(PSTR(", "));
+ bigint_print_hex(y);
+ printf_P(PSTR(")\n"));
+ if(x->length_W == 0 || y->length_W == 0){
+ printf_P(PSTR("\nDBG: got zero in gcd <%s %s %d>\n"), __FILE__, __func__, __LINE__);
+ if(gcd){
+ bigint_set_zero(gcd);
+ }
+ if(a){
+ bigint_set_zero(a);
+ }
+ if(b){
+ bigint_set_zero(b);
+ }
return;
}
- if(x->length_B==1 && x->wordv[0]==1){
- gcd->length_B = 1;
- gcd->wordv[0] = 1;
+ if(x->length_W == 1 && x->wordv[0] == 1){
+ if(gcd){
+ gcd->length_W = 1;
+ gcd->wordv[0] = 1;
+ gcd->info = 0;
+ }
if(a){
- a->length_B = 1;
+ a->length_W = 1;
a->wordv[0] = 1;
SET_POS(a);
bigint_adjust(a);
}
return;
}
- if(y->length_B==1 && y->wordv[0]==1){
- gcd->length_B = 1;
- gcd->wordv[0] = 1;
+ if(y->length_W == 1 && y->wordv[0] == 1){
+ if(gcd){
+ gcd->length_W = 1;
+ gcd->wordv[0] = 1;
+ gcd->info = 0;
+ }
if(b){
- b->length_B = 1;
+ b->length_W = 1;
b->wordv[0] = 1;
SET_POS(b);
bigint_adjust(b);
return;
}
- while(x->wordv[i]==0 && y->wordv[i]==0){
+ while(x->wordv[i] == 0 && y->wordv[i] == 0){
++i;
}
- bigint_word_t g_b[i+2], x_b[x->length_B-i], y_b[y->length_B-i];
- bigint_word_t u_b[x->length_B-i], v_b[y->length_B-i];
- bigint_word_t a_b[y->length_B+2], c_b[y->length_B+2];
- bigint_word_t b_b[x->length_B+2], d_b[x->length_B+2];
+ bigint_word_t g_b[i + 2], x_b[x->length_W - i], y_b[y->length_W - i];
+ bigint_word_t u_b[x->length_W - i], v_b[y->length_W - i];
+ bigint_word_t a_b[y->length_W + 2], c_b[y->length_W + 2];
+ bigint_word_t b_b[x->length_W + 2], d_b[x->length_W + 2];
+ bigint_t g, x_, y_, u, v, a_, b_, c_, d_;
g.wordv = g_b;
x_.wordv = x_b;
y_.wordv = y_b;
- memset(g_b, 0, i*sizeof(bigint_word_t));
- g_b[i]=1;
- g.length_B = i+1;
- g.info=0;
+ memset(g_b, 0, i * sizeof(bigint_word_t));
+ g_b[i] = 1;
+ g.length_W = i + 1;
+ g.info = 0;
x_.info = y_.info = 0;
- x_.length_B = x->length_B-i;
- y_.length_B = y->length_B-i;
- memcpy(x_.wordv, x->wordv+i, x_.length_B*sizeof(bigint_word_t));
- memcpy(y_.wordv, y->wordv+i, y_.length_B*sizeof(bigint_word_t));
- for(i=0; (x_.wordv[0]&(1<<i))==0 && (y_.wordv[0]&(1<<i))==0; ++i){
+ x_.length_W = x->length_W - i;
+ y_.length_W = y->length_W - i;
+ memcpy(x_.wordv, x->wordv + i, x_.length_W * sizeof(bigint_word_t));
+ memcpy(y_.wordv, y->wordv + i, y_.length_W * sizeof(bigint_word_t));
+ for(i = 0; (x_.wordv[0] & (1 << i)) == 0 && (y_.wordv[0] & (1 << i)) == 0; ++i){
}
bigint_adjust(&x_);
bigint_copy(&u, &x_);
bigint_copy(&v, &y_);
a_.wordv[0] = 1;
- a_.length_B = 1;
+ a_.length_W = 1;
a_.info = 0;
d_.wordv[0] = 1;
- d_.length_B = 1;
+ d_.length_W = 1;
d_.info = 0;
bigint_set_zero(&b_);
bigint_set_zero(&c_);
+ printf_P(PSTR("\nloop: x_ = "));
+ bigint_print_hex(&x_);
+ printf_P(PSTR("; y_ = "));
+ bigint_print_hex(&y_);
do{
- cli_putstr("\r\nDBG (gcdext) 0");
- while((u.wordv[0]&1)==0){
- cli_putstr("\r\nDBG (gcdext) 0.1");
+ printf_P(PSTR("\nDBG (gcdext) 0"));
+ while((u.wordv[0] & 1) == 0){
+ printf_P(PSTR("\nDBG (gcdext) 0.1"));
bigint_shiftright(&u, 1);
- if((a_.wordv[0]&1) || (b_.wordv[0]&1)){
+ if((a_.wordv[0] & 1) || (b_.wordv[0] & 1)){
bigint_add_s(&a_, &a_, &y_);
bigint_sub_s(&b_, &b_, &x_);
}
bigint_shiftright(&a_, 1);
bigint_shiftright(&b_, 1);
+ printf_P(PSTR(" a_ = "));
+ bigint_print_hex(&a_);
+ printf_P(PSTR("; b_ = "));
+ bigint_print_hex(&b_);
}
- while((v.wordv[0]&1)==0){
- cli_putstr("\r\nDBG (gcdext) 0.2");
+ while((v.wordv[0] & 1) == 0){
+ printf_P(PSTR("\nDBG (gcdext) 0.2"));
bigint_shiftright(&v, 1);
- if((c_.wordv[0]&1) || (d_.wordv[0]&1)){
+ if((c_.wordv[0] & 1) || (d_.wordv[0] & 1)){
bigint_add_s(&c_, &c_, &y_);
bigint_sub_s(&d_, &d_, &x_);
}
+ printf_P(PSTR(" c* = "));
+ bigint_print_hex(&c_);
bigint_shiftright(&c_, 1);
bigint_shiftright(&d_, 1);
-
+ printf_P(PSTR(" c_ = "));
+ bigint_print_hex(&c_);
+ printf_P(PSTR("; d_ = "));
+ bigint_print_hex(&d_);
}
- if(bigint_cmp_u(&u, &v)>=0){
+ if(bigint_cmp_u(&u, &v) >= 0){
+ printf_P(PSTR("\nDBG (gcdext) 0.3"));
bigint_sub_u(&u, &u, &v);
bigint_sub_s(&a_, &a_, &c_);
bigint_sub_s(&b_, &b_, &d_);
+ printf_P(PSTR(" a_ = "));
+ bigint_print_hex(&a_);
+ printf_P(PSTR("; b_ = "));
+ bigint_print_hex(&b_);
}else{
+ printf_P(PSTR("\nDBG (gcdext) 0.4"));
bigint_sub_u(&v, &v, &u);
bigint_sub_s(&c_, &c_, &a_);
bigint_sub_s(&d_, &d_, &b_);
+ printf_P(PSTR(" c_ = "));
+ bigint_print_hex(&c_);
+ printf_P(PSTR("; d_ = "));
+ bigint_print_hex(&d_);
}
- }while(u.length_B);
+ }while(u.length_W);
if(gcd){
bigint_mul_s(gcd, &v, &g);
}
void bigint_changeendianess(bigint_t* a){
uint8_t t, *p, *q;
p = (uint8_t*)(a->wordv);
- q = p + a->length_B * sizeof(bigint_word_t) - 1;
+ q = p + a->length_W * sizeof(bigint_word_t) - 1;
while(p<q){
t = *p;
*p = *q;
projects / avr-crypto-lib.git / blobdiff